Divisivibility rules

Question 1

by 2

Answer 1

If the last digit is even, the number is divisible by 2

Question 2

by 2

Answer 2

If the last digit is even, the number is divisible by 2

Question 3

by 3

Answer 3

If the sum of the digits is divisible by 3, the number is also.

Question 4

by 3

Answer 4

If the sum of the digits is divisible by 3, the number is also.

Question 5

by 4

Answer 5

If the last two digits form a number divisible by 4, the number is also.

Question 6

by 4

Answer 6

If the last two digits form a number divisible by 4, the number is also.

Question 7

by 5

Answer 7

If the last digit is a 5 or a 0, the number is divisible by 5.

Question 8

by 5

Answer 8

If the last digit is a 5 or a 0, the number is divisible by 5.

Question 9

by 6

Answer 9

If the number is divisible by both 3 and 2, it is also divisible by 6.

Question 10

by 6

Answer 10

If the number is divisible by both 3 and 2, it is also divisible by 6.

Question 11

by 8

Answer 11

If the last three digits form a number divisible by 8,then so is the whole number.

Question 12

by 8

Answer 12

If the last three digits form a number divisible by 8,then so is the whole number.

Question 13

by 9

Answer 13

If the sum of the digits is divisible by 9, the number is also.

Question 14

by 9

Answer 14

If the sum of the digits is divisible by 9, the number is also.

Question 15

by 10

Answer 15

If the number ends in 0, it is divisible by 10.

Question 16

by 10

Answer 16

If the number ends in 0, it is divisible by 10.

Question 17

by 12

Answer 17

If the number is divisible by both 3 and 4, it is also divisible by 12.

Question 18

by 12

Answer 18

If the number is divisible by both 3 and 4, it is also divisible by 12.

Question 19

by 7 or 11

Answer 19

While not applicable for all numbers, a number is divisible by 7 if it can be separated into groups of adjacent digits that are multiples of 7. For instance, 14,287 is divisible by 7 since 14, 28, and 7 are all multiples of 7. This idea works for any divisor, not just 7. You can see that 2,255 is divisible by 11.

Question 20

by 7 or 11

Answer 20

While not applicable for all numbers, a number is divisible by 7 if it can be separated into groups of adjacent digits that are multiples of 7. For instance, 14,287 is divisible by 7 since 14, 28, and 7 are all multiples of 7. This idea works for any divisor, not just 7. You can see that 2,255 is divisible by 11.